⚛ Science Guide

Scientific Formulas: Physics, Chemistry & Gas Laws Guide

Fundamental mechanics, kinetic energy, velocity, density, and molar mass.

13 free calculatorsFormula includedWorked example
Home / Guides / Science Guide
📚 Overview

Science relies on precise mathematical relationships to describe the physical universe. Understanding classic physics mechanics, ideal gas equations, and chemical stoichiometry allows engineers and students to model real-world physical phenomena.

📐 Kinetic Energy, Velocity & Ideal Gas Law
KE = 0.5 × m × v² and PV = nRT and Density = Mass / Volume

Where m is mass (kg), v is velocity (m/s), P is pressure (Pa or atm), V is volume (m³ or L), n is moles, R is gas constant (8.314 J/(mol·K)), and T is absolute temperature (Kelvin).

🔢 Worked Example

Scenario: Calculating the kinetic energy of a 1,500 kg automobile traveling at 25 m/s (approx 90 km/h).

  • Mass: 1,500 kg
  • Velocity: 25 m/s
  1. Velocity squared = 25² = 625
  2. Multiply by mass = 1,500 × 625 = 937,500
  3. Multiply by 0.5 = 0.5 × 937,500 = 468,750 Joules
The vehicle carries 468.75 kilojoules (kJ) of kinetic energy.
💡 Pro Tips
  • Always verify unit consistency before multiplying: convert speeds to meters/second and masses to kilograms.
  • For all thermodynamic equations, temperature must be converted to absolute Kelvin: K = °C + 273.15.
  • Kinetic energy quadruples when velocity doubles, because velocity is squared in the equation.
  • Standard temperature and pressure (STP) is 0°C (273.15 K) and 1 atmosphere of pressure.
❓ Frequently Asked Questions
What is the acceleration due to gravity on Earth?

Standard surface gravity g is approximately 9.80665 m/s² (commonly rounded to 9.8 m/s² or 32.2 ft/s²).

What is Avogadro's number?

Avogadro's number is 6.022 × 10²³ particles per mole of substance.

How is density related to buoyancy?

An object floats in a fluid if its density is lower than the fluid's density, and sinks if its density is higher.